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Year 3 - Maths

Use parts and wholes to find a unit fraction of a set of objects

Calculate the value of a part (fractions as operators)

Unit Summary

In this unit pupils will quantify the number of items in each part and connect to the unit fraction operator. They will calculate the value of a part by connecting knowledge of division and division facts with finding a fraction of a quantity.

Lesson Summary

You will learn to use knowledge of parts and wholes to find a unit fraction of a set of objects.

Key Notes

  • The whole can be a set of objects.
  • To identify the size of a part, we can divide the whole amount by the number of parts.
  • To identify the size of the whole, we can multiply the number of equal parts by the size of each part.
  • 'The whole is divided into ___ equal parts. Each equal part is __________ of the whole.'

Vocabulary To Learn

  • Set: A set is a collection of things (objects or numbers).
  • Unit fraction: A unit fraction is any fraction where the numerator is one.

Common Mistakes To Avoid

  • Children may struggle to make the connection between the unit fraction and the division required.

3 Quick Questions (With Answers)

1. Solve this in steps: explain the method from this lesson and why each step matters.

The whole can be a set of objects. To identify the size of a part, we can divide the whole amount by the number of parts.

2. Use this key word in a maths sentence and explain it clearly. 'Set'

A set is a collection of things (objects or numbers). Use this word when showing your method, then check your final answer is reasonable.

3. Spot and fix this common maths mistake.

Mistake: Children may struggle to make the connection between the unit fraction and the division required. Correction: The stem sentence, 'The whole is divided into ___ equal parts. Each equal part is __________ of the whole.' supports children to grasp this. Support children to make connections between the number of equal parts and the denominator of the fraction.

More Lessons In This Unit

Browse all guides in the Year 3 Maths guide library.